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Title:

A Stochastic User Equilibrium Model and Solution Method for Networks with Congestible Link Capacities

Accession Number:

01763910

Record Type:

Component

Abstract:

With rapid development of Mobility-as-a-Service systems, unique properties of these systems that are different from traditional urban transportation systems is getting more and more attention. One of these properties is congestible capacity, which refers to the phenomenon that capacities of links are influenced by multiple inbound and outbound flows from other links. This study proposed a logit-based SUE formulation for systems with congestible capacities using a system efficiency matrix to capture the supply-side relationships to flow. The proof for equivalence of the formulation and SUE is given, which shows how the relative path delays can be obtained through the Lagrange multipliers of the capacity constraints. Due to non-separability, Lagrange multipliers may not equate to link delays, but conditions exist to derive unique Lagrange multipliers and unique SUE flows. A solution algorithm that iteratively increases the restricted path set with certain tolerance in the change of the objective value is proposed, which can eliminate unreasonable paths to different extents by changing the tolerance. Two numerical examples are provided to illustrate how the model captures the effect of congestible capacities and sensitivity to changes in the system efficiency matrix. Such a model can be used to provide a steady state of highly dynamic MaaS systems under certain demand conditions, which could facilitate the decision making of MaaS operators on schedule design and fleet deployment.

Supplemental Notes:

This paper was sponsored by TRB committee AEP40 Standing Committee on Transportation Network Modeling.

Report/Paper Numbers:

TRBAM-21-02826

Language:

English

Corporate Authors:

Transportation Research Board

Authors:

Liu, Bingqing

ORCID 0000-0002-7808-4967

Chow, Joseph Y J

ORCID 0000-0002-6471-3419

Pagination:

21p

Publication Date:

2021

Conference:

Transportation Research Board 100th Annual Meeting

Location: Washington DC, United States
Date: 2021-1-5 to 2021-1-29
Sponsors: Transportation Research Board; Transportation Research Board

Media Type:

Digital/other

Features:

Figures; References; Tables

Identifier Terms:

Mobility-as-a-Service (MaaS)

Subject Areas:

Highways; Operations and Traffic Management; Planning and Forecasting

Source Data:

Transportation Research Board Annual Meeting 2021 Paper #TRBAM-21-02826

Files:

TRIS, TRB, ATRI

Created Date:

Dec 23 2020 11:14AM